87.3 a vertically oriented spring 1. Is the motion of this system simple harmonic? Fares x=0 m New equilibrium position: l= mg total =-k(xe+x)i+ mgi 87. 3 a vertically oriented spring Ftotal=-k(x '+r)i+mgi=-kxi Kxi= ma,I=m-t dt dx k +x=0 dt m The origin ofx is the new equilibrium position. 66 §7.3 A vertically oriented spring 1. Is the motion of this system simple harmonic? New equilibrium position: kx mg e ′ = F k x x i mgi e ˆ ˆ ( ) total = − ′ + + r §7.3 A vertically oriented spring i t x kxi max i m ˆ d d ˆ ˆ 2 2 − = = F k x x i mgi kxi x e ˆ ˆ ˆ ( ) ,total = − ′ + + = − r m k x m k t x = + = ω 0 d d 2 2 The origin of x is the new equilibrium position